Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean ? = 6950 and estimated standard deviation ? = 3000. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) b) What is the probability of x < 3500? (Round your answer to four decimal places.) c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

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Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean ? = 6950 and estimated standard deviation ? = 3000. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection.

a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.)

b) What is the probability of x < 3500? (Round your answer to four decimal places.)

c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

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